\(a,=\left(m-2n\right)\left(m+2n\right)\\ b,=\left(3x+y\right)^2\\ c,=\left(a-3b-4c\right)\left(a-3b+4c\right)\\ d,=\left(2a-5\right)\left(4a^2+10a+25\right)\\ e,=\left(3x+2y\right)^3\\ f,=\left(4x-x+y\right)\left(4x+x-y\right)=\left(3x+y\right)\left(5x-y\right)\)
a) \(m^2-4n^2=\left(m-2n\right)\left(m+2n\right)\)
b) \(=\left(3x+y\right)^2\)
c) \(=\left(a-3b-4c\right)\left(a-3b+4c\right)\)
d) \(=\left(2a-5\right)\left(5a^2+10a+25\right)\)
e) \(=\left(3x+2y\right)^3\)
f) \(=\left(4x-x+y\right)\left(4x+x-y\right)=\left(3x+y\right)\left(5x-y\right)\)
\(a)m^2-4n^2=(m+2n)(m-2n)\\b)9x^2+6xy+y^2=(3x+y)^2\\c)(a-3b)^2-16c^2=(a-3b+4c)(a+3b-4c)\\d)8a^3-125=(2a-5)(4a^2+10a+25)\\e)27x^3+54x^2y+36xy^2+8y^3=(3x+2y)^3\\f)16x^2-(x-y)^2=(4x+x-y)(4x-x+y)=(5x-y)(3x+y)\)